There is nothing in mathematics which requires anything to be sensible.

> So you explanation is nonsense in highest degree.

Not even up to WM's usual level of nonsense.> >> > You can similarly get a list of all definable reals for a specific> > language L.> > Every real that is definable in a specific language is definable in> another specific language. The set does not grow or shrink or change> when the language is changed.

That is a statement that requires proof, which WM, as usual, has not provided.

There are, I believe, in both mathematics and logic, "Languages" which are proper "sub-languages" of other languages so that things expressible in a super-language are not always expressible in its sub-languages.